Manuel E. Rodrigues, Zui A. A. Oporto
A thermodynamic analysis of the black hole solutions coming from the
Einstein-Maxwell-Dilation theory (EMD) is done. By consider the the canonical
and grand-canonical ensemble, we apply standard methods as well as a recent
method knowns as Geometrothermodynamics. We are particularly interested on the
characteristics of the so called phantom black hole solutions. The
thermodynamics of those solutions, point of phase transition and extremal limit
are constructed, also the thermodynamic stability of the solutions is analysed.
We obtain that the normal and phantoms cases are locally and globally unstable,
unless for specific values of the parameter $\gamma$, coming from the coupled
constant $\lambda$ of the EMD action. We shown that the anti-Reissner-Nordstrom
case does not posses extremal limit nor a phase transition point, contrary to
the Reissner-Nordstrom case.
View original:
http://arxiv.org/abs/1201.5337
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